Atkin-Lehner |
2+ 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862q |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87808 |
Modular degree for the optimal curve |
Δ |
22565466 = 2 · 37 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5643,-161757] |
[a1,a2,a3,a4,a6] |
j |
27262747722673/30954 |
j-invariant |
L |
2.2033243197628 |
L(r)(E,1)/r! |
Ω |
0.55083111468276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30954x1 |
Quadratic twists by: -3 |